Finite Group DatabasebetaFinite Group DatabasebetaOrder 1600.
250 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 250 conjugacy classes of subgroups — too many to draw. Only its 64 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #11716683 | C2 | semidirect |
| 5. C5×#3949 | C2 | semidirect |
| 6. #11716614 | C2 | semidirect |
| 7. #11716608 | C2 | semidirect |
| 43. #3949 | D5 | semidirect |
| 132. C52 | #483 | semidirect |
| 197. C5 | #65010 | semidirect |
| 198. C5 | #65151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D5×C4⋊Dic5 | 2 |
| #11716975 | 2 |
| #11716683 | 2 |
| C5×#3952 | 2 |
| C5×#3949 | 2 |
| #11716614 | 2 |
| #11716608 | 2 |
| #65151 | 5 |
| #65010 | 5 |